Another way to integrate -1 (x) (when -1 is integrable, of course) is to use
Question:
Another way to integrate ƒ-1(x) (when ƒ-1 is integrable, of course) is to use integration by parts with u = ƒ-1(x) and dν = dx to rewrite the integral of ƒ-1 as
compare the results of using Equations (4) and (5).
Equations (4) and (5) lead to different formulas for the integral of tan-1 x:
a.
b.
Can both integrations be correct? Explain.
Transcribed Image Text:
√5-100 [1-¹0x) dx ƒ-¹(x) dx = xf-¹(x) - [x ( a + 1-1(x) dx. dx (5)
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 88% (9 reviews)
ANSWER Equations 4 and 5 are two different ways of expressing the ...View the full answer
Answered By
Collins Njuguna
I graduated from Maseno University with a Bachelor of Science in Applied Statistics. After graduation, I started tutoring students in mathematics. My experience in mathematics education is extensive and varied. I have taught a wide range of topics, including algebra, geometry, trigonometry, calculus, statistics, probability, and computer science. I have also worked with students of all ages and backgrounds, from elementary school to college.
My teaching method is based on the idea of hands-on learning. I believe that students learn best when they are actively engaged in the learning process, so I focus on giving students the tools they need to explore the material on their own. I also emphasize the importance of practice and review, as these are essential for mastering math concepts.
I have also developed several online and in-person courses on mathematics. My courses are designed to help students learn mathematics in an efficient and comprehensive way, and I use a variety of activities and exercises to ensure that my students are engaged and motivated.
Overall, my passion for mathematics and teaching has allowed me to be a successful tutor and educator in the field. I am confident that my experience will help your students master the mathematics they need to succeed.
0.00
0 Reviews
10+ Question Solved
Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
Question Posted:
Students also viewed these Mathematics questions
-
Another way to integrate -1 (x) (when -1 is integrable, of course) is to use integration by parts with u = -1 (x) and d = dx to rewrite the integral of -1 as compare the results of using...
-
Use integration by parts to prove the reduction formula. a. (ln x)n dx = x(ln x)n - n (ln x)n-1 dx b. tannx dx = = (tann-1 x)/(n - 1) - tann-2 x dx (n 1)
-
List three specific parts of the Case Guide, Objectives and Strategy Section (See below) that you had the most difficulty understanding. Describe your current understanding of these parts. Provide...
-
Based on the information in Problems 9 and 10, what is Ryan and Nicoles liquidity ratio? What is their debt to asset ratio? Comment on each ratio. In Problems 10 Mortgage......... $ 43,500 Car...
-
When is it acceptable for a fraud investigator to render an opinion that a suspect is guilty?
-
On July 1, 2023, Martinez Ltd., which follows ASPE, issued 1,000 convertible, five-year, $1,000 bonds. Each bond is convertible into 20 common shares at the bondholder's option. On the date of...
-
A spindle is used on (a) machine tools (b) I.C. engines (c) cranes (d) automobiles
-
The Montero Company, a wholesale distributor of furnace and air conditioning equipment, began business on July 1, 20X2. The following summarized transactions occurred during July: a. Monteros...
-
Assuming a 12% annual interest rate, determine the present value of a five-period annual annuity of $6.200 under each of the following situations: Note: Use tables, Excel, or a financial calculator....
-
The graph below displays the sample sizes and percentages of people in different age and gender groups who were polled concerning their approval of Mayor Ford's actions in office. The total number in...
-
Use integration by parts to obtain the formula | - [ V = x dx = 1/2 x VI = x + 1/ / 2 1 V1- T-1 dx.
-
Integration by parts leads to a rule for integrating inverses that usually gives good results: The idea is to take the most complicated part of the integral, in this case -1 (x), and simplify it...
-
Janice Dean teaches several accounting classes at Blank ton State University. She has always relied on her syllabus and its honor code to regulate the behavior of her students. Over the past few...
-
Within the same class file, lets do the following: Add 10 and 2 together, do a modulus by 5 and subtract that 6. Multiply this number by 10 and divide by 12. Print out each calculation step. What is...
-
Which of the following is a connection? a. Sometime later b. Later on c. Afterwards d. All of the above
-
Organizations differ in terms how highly centralized they are. This questionnaire is designed to help you identify the degree to which your organization is centralized. Questions for Discussion 1....
-
Explain the part played by culture in shaping an individuals negotiation style.
-
The fraud examiner should encourage the witness to talk about? a. Dealings with the subject b. About himself and family c. Hobbies and financial history d. All of the above.
-
List the advantages of using an Excel add-in pro-gram rather than using Excels built-in functions to develop a simulation model.
-
Selected condensed data taken from a recent statement of financial position of Morino Ltd. are as follows. MORINO LTD. Statement of Financial Position (partial) Other current assets...
-
Find the real solutions, if any, of the equation. Use the quadratic formula. x 2 + 3x 3 = 0
-
Find the real solutions, if any, of the equation. Use the quadratic formula. x 2 + 2x 2 = 0
-
Use the discriminant to determine whether the quadratic equation has two unequal real solutions, a repeated real solution, or no real solution without solving the equation. x 2 - 5x + 7 = 0
-
Two horizontal forces, P and Q, are acting on a block that is placed on a table. We know that P is directed to the left but the direction of Q is unknown; it could either be directed to the right or...
-
Required information The graph shows vx vs. t for an object moving along the x-axis. V (m/s)+ 40 20 0 0 2 4 6 8 10 What is ax at t= 10.0 s? m/s 152 12 14 t(s)
-
In the extensive-form game pictured below, how many (pure) strategies does player 1 have? How many pure strategies does player 2 have? List them. Convert the game into a normal form game. What is the...
Study smarter with the SolutionInn App